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Finding the Fourth Proportional to 1,377.65, 1,898.97 and 1,082.41

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Solution

The fourth proportional to 1,377.65, 1,898.97 and 1,082.41 is: 1,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.65 : 1,898.97 = 1,082.41 : x
  2. Step 2: Convert to fraction form
    1,377.65/1,898.97 = 1,082.41/x
  3. Step 3: Cross multiply
    1,377.65x = 1,898.97 × 1,082.41
  4. Step 4: Simplify right side
    1,377.65x = 2,055,464.12
  5. Step 5: Solve for x
    x = 2,055,464.12/1,377.65
  6. Step 6: Final answer
    x = 1,492.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.